On a coordinate plane, 2 triangles are shown. The first triangle has points F (3, 2), H (4, 5), G (1, 2). The second triangle has points F prime (negative 2, 3), H prime (negative 5, 4), G prime (negative 2, 1). Quinton tried to transform triangle FGH according to the rule (x, y) → (–y, x). Which best describes his attempt? Correct. He transformed the triangle according to the rule (x, y) → (–y, x). Incorrect. He transformed the triangle according to the rule (x, y) → (y, –x) Incorrect. He transformed the triangle according to the rule (x, y) → (–y, –x) Incorrect. He transformed the triangle according to the rule (x, y) → (–x, –y)

  Correct. He transformed the triangle according to the rule (x, y) → (–y, x)

Step-by-step explanation:

Given

  F(3, 2), H(4, 5), G 1, 2)

  F'(-2, 3), H'(-5, 4), G'(-2, 1)

Find

  Whether the triangle was correctly transformed using the rule ...

  (x, y) → (–y, x).

Solution

For point F, we have ...

  x = 3

  y = 2

Then the rule tells us the point F' should be ...

  F' = (-y, x) = (-2, 3)

This is the point Quinton found for F', so his transformation was correct. (We can similarly verify that H' and G' are also correct.)

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false

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